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Number of (7+1)X(n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order
1

%I #4 Nov 06 2013 08:02:14

%S 5462,129329,2848550,72212345,1911322499,53369789699,1496478177166,

%T 42743970963033,1224046292071020,35220701171406897,

%U 1014732292225672289,29277261630263523080,845121666173764151769,24406166622526862441263

%N Number of (7+1)X(n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order

%C Row 7 of A231263

%H R. H. Hardin, <a href="/A231269/b231269.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for n=3

%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

%e ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0

%e ..0..0..0..1....0..0..0..1....0..0..0..1....1..1..0..0....1..1..0..1

%e ..0..0..1..1....0..0..1..1....0..1..1..1....1..1..1..1....1..0..1..1

%e ..2..2..2..2....2..2..1..1....1..1..1..1....1..1..1..0....0..1..1..2

%e ..2..2..1..1....2..2..2..2....2..2..2..2....0..0..0..1....2..2..2..1

%e ..1..1..1..0....1..1..0..0....2..2..1..1....2..2..1..1....2..2..1..0

%e ..1..1..0..0....1..0..0..0....2..1..1..1....2..1..1..1....1..1..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 06 2013